Question

Two angles are complimentary. The sum of the measure of the first angle and one-fourth the second angle is 71.25 degrees. Find the measures of the angles.

What is the measure of the smaller angle?______
What is the measure of the other angle?_________

Answer 1

two angles that are complementary sum up to 90 degrees

Answer 2

so you mean 90 degrees is the answer for both questions??

Answer 3

Let the two angles be 90-x and x since they add up to 90. then (90-x)+x = 71.25

Answer 4

Can you solve that?

Answer 5

sum means when they are added together they come out to 90
angle x + angle y = 90

Answer 6

Whoops. (90-x)+1/4x = 71.25

Answer 7

Can you solve that?

Answer 8

x=25

Answer 9

Yep. That's it.

Answer 10

So the two angles are 25 degrees and 65 degrees

Answer 11

thanks for your help

Answer 12

yw